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Direct Incorporation of \(L_1\)-Regularization into Generalized Matrix Learning Vector Quantization

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Artificial Intelligence and Soft Computing (ICAISC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10841))

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Abstract

Frequently, high-dimensional features are used to represent data to be classified. This paper proposes a new approach to learn interpretable classification models from such high-dimensional data representation. To this end, we extend a popular prototype-based classification algorithm, the matrix learning vector quantization, to incorporate an enhanced feature selection objective via \(L_1\)-regularization. In contrast to previous work, we propose a framework that directly optimizes this objective using the alternating direction method of multipliers (ADMM) and manifold optimization. We evaluate our method on synthetic data and on real data for speech-based emotion recognition. Particularly, we show that our method achieves state-of-the-art results on the Berlin Database of Emotional speech and show its abilities to select relevant dimensions from the eGeMAPS set of audio features.

F. Lischke—This work was supported in part by SAB grant number 100231931.

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Author information

Authors and Affiliations

  1. HTW Dresden, Friedrich-List-Platz 1, 01069, Dresden, Germany

    Falko Lischke, Thomas Neumann, Sven Hellbach & Hans-Joachim Böhme

  2. Saxony Institute for Computational Intelligence and Machine Learning, University of Applied Sciences Mittweida, 09648, Mittweida, Germany

    Thomas Villmann

Authors
  1. Falko Lischke
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  2. Thomas Neumann
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  3. Sven Hellbach
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  4. Thomas Villmann
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  5. Hans-Joachim Böhme
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Corresponding author

Correspondence to Falko Lischke .

Editor information

Editors and Affiliations

  1. Częstochowa University of Technology, Częstochowa, Poland

    Leszek Rutkowski

  2. Częstochowa University of Technology, Częstochowa, Poland

    Rafał Scherer

  3. Częstochowa University of Technology, Częstochowa, Poland

    Marcin Korytkowski

  4. University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  5. AGH University of Science and Technology, Kraków, Poland

    Ryszard Tadeusiewicz

  6. University of Louisville, Louisville, KY, USA

    Jacek M. Zurada

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Lischke, F., Neumann, T., Hellbach, S., Villmann, T., Böhme, HJ. (2018). Direct Incorporation of \(L_1\)-Regularization into Generalized Matrix Learning Vector Quantization. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2018. Lecture Notes in Computer Science(), vol 10841. Springer, Cham. https://doi.org/10.1007/978-3-319-91253-0_61

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  • DOI: https://doi.org/10.1007/978-3-319-91253-0_61

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